Question

Which equations have the same value of x as StartFraction 5 over 6 EndFraction x + two-thirds = negative 9? Select three options.
6 (StartFraction 5 over 6 EndFraction x + two-thirds) = negative 9
6 (StartFraction 5 over 6 EndFraction x + two-thirds) = negative 9(6)
5 x + 4 = negative 54
5 x + 4 = negative 9
5 x = negative 13
5 x = negative 58

Answer 1

Answer:

6 (StartFraction 5 over 6 EndFraction x + two-thirds) = negative 9(6)

5 x + 4 = negative 54

5 x = negative 58

Step-by-step explanation:

we have

$\frac{5}{6}x+\frac{2}{3}=-9$

solve for x

Multiply by 6 both sides

$6(\frac{5}{6}x+\frac{2}{3})=6(-9)$

$5x+4=-54$

subtract 4 both sides

$5x=-54-4\\5x=-58$

divide by 5 both sides

$x=-\frac{58}{5}$

Answer 2

Answer:

6 (StartFraction 5 over 6 EndFraction x + two-thirds) = negative 9(6)

5 x + 4 = negative 54

5 x = negative 58

Step-by-step explanation: